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Finding the Fourth Proportional to 30,609.90, 45,914.77 and 10,889.23

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Solution

The fourth proportional to 30,609.90, 45,914.77 and 10,889.23 is: 16,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.90 : 45,914.77 = 10,889.23 : x
  2. Step 2: Convert to fraction form
    30,609.90/45,914.77 = 10,889.23/x
  3. Step 3: Cross multiply
    30,609.90x = 45,914.77 × 10,889.23
  4. Step 4: Simplify right side
    30,609.90x = 499,976,490.93
  5. Step 5: Solve for x
    x = 499,976,490.93/30,609.90
  6. Step 6: Final answer
    x = 16,333.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.